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Finding the Third Proportional to 99,245.25 and 216,335.81

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Solution

The third proportional to 99,245.25 and 216,335.81 is: 471,571.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,245.25 : 216,335.81 = 216,335.81 : x
  2. Step 2: Convert to fraction form
    99,245.25/216,335.81 = 216,335.81/x
  3. Step 3: Cross multiply
    99,245.25x = 216,335.81 × 216,335.81
  4. Step 4: Simplify right side
    99,245.25x = 46,801,183,770.04
  5. Step 5: Solve for x
    x = 46,801,183,770.04/99,245.25
  6. Step 6: Final answer
    x = 471,571.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.